What is the Greatest Common Factor of 89522 and 89530?

Greatest common factor (GCF) of 89522 and 89530 is 2.

GCF(89522,89530) = 2

We will now calculate the prime factors of 89522 and 89530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89522 and 89530.

How to find the GCF of 89522 and 89530?

We will first find the prime factorization of 89522 and 89530. After we will calculate the factors of 89522 and 89530 and find the biggest common factor number .

Step-1: Prime Factorization of 89522

Prime factors of 89522 are 2, 17, 2633. Prime factorization of 89522 in exponential form is:

89522 = 2¹ × 17¹ × 2633¹

Step-2: Prime Factorization of 89530

Prime factors of 89530 are 2, 5, 7, 1279. Prime factorization of 89530 in exponential form is:

89530 = 2¹ × 5¹ × 7¹ × 1279¹

Step-3: Factors of 89522

List of positive integer factors of 89522 that divides 89522 without a remainder.

1, 2, 17, 34, 2633, 5266, 44761

Step-4: Factors of 89530

List of positive integer factors of 89530 that divides 89522 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1279, 2558, 6395, 8953, 12790, 17906, 44765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89522 and 89530. The biggest common factor number is the GCF number.
So the greatest common factor 89522 and 89530 is 2.

Also check out the Least Common Multiple of 89522 and 89530